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Let 4x^2 - 4(alpha - 2)x + alpha - 2 = 0...

Let `4x^2 - 4(alpha - 2)x + alpha - 2 = 0 (alpha in R)` be a quadratic equation. Find the values of 'a' for which
(i) Both roots are real and distinct.
(ii) Both roots are equal.
(iii) Both roots are imaginary
(iv) Both roots are opposite in sign.
(v) Both roots are equal in magnitude but opposite in sign

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`alpha in (-oo, 2)uu(3, oo)`
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